pith. sign in
Pith Number

pith:EWNGTZHF

pith:2013:EWNGTZHF5ITSWEUHRW2LWCYPU6
not attested not anchored not stored refs pending

Unstable supercritical discontinuous percolation transitions

Jan Nagler, Ning Ning Chung, Raissa M.D'Souza, Wei Chen, Xueqi Cheng, Zhiming Zheng

arxiv:1308.6639 v1 · 2013-08-30 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EWNGTZHF5ITSWEUHRW2LWCYPU6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T01:47:56.630512Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

259a69e4e5ea272b12878db4bb0b0fa79b1c76c31a9d6c2e4b0d774c9f446949

Aliases

arxiv: 1308.6639 · arxiv_version: 1308.6639v1 · doi: 10.48550/arxiv.1308.6639 · pith_short_12: EWNGTZHF5ITS · pith_short_16: EWNGTZHF5ITSWEUH · pith_short_8: EWNGTZHF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EWNGTZHF5ITSWEUHRW2LWCYPU6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 259a69e4e5ea272b12878db4bb0b0fa79b1c76c31a9d6c2e4b0d774c9f446949
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7ab64c5aa45db6929ac2cd9295f723a5491afe5b536ce25c8c9babb3399f134f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-08-30T02:36:12Z",
    "title_canon_sha256": "9efc6259ccf871929ee15c7d1cdb1f6fc914c0f48a5966c99a8b268a1b89ebba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6639",
    "kind": "arxiv",
    "version": 1
  }
}